Dominated Operators

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This text presents the main results since the 1990s on dominated operators, demonstrating a well-developed theory with a range of applications. The exposition focuses on the fundamental properties of dominated operators with special emphasis on their particular classes: integral and pseudointegral operators, disjointness preserving and decomposable operators, and summing and cyclically compact operators. This volume should be of interest to postgraduate students and researchers whose work involves geometric functional analysis, operator theory, vector lattices, measure and integration theory, and mathematical logic and foundations.